I like to start with changing fractions to decimals. It seems easier that way.
5/8 = 0.625 cups
Now divide 4 by 0.625
4 / 0.625 = 6.4
Noor can offer 6 cups with an extra 2/5 of a cup left. He can offer the 2/5 of a cup to a friend, so he can offer 7 friends some hot chocolate!
Answer:
f(x) = -(x + 1)² - 2
Step-by-step explanation:
f(x) = a(x - h)² + k
-6 = a(1 - -1)² + -2
-6 = a(4) -2
-4 = 4a
a = -1
f(x) = -(x + 1)² - 2
Answer:
F is independent, g is dependent.
You can tell that because of the second sentence: "the number of frames she has determines the number of gifts she can create." So the number of gifts, g is dependent of F, and F is independent.
Answer:
x≈3.35, or the square root of 11.
Step-by-step explanation:
Use the pythagorian therom. 3²+1.5²=x²
(Half of 3 is 1.5 and the line splits it in half)
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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